Question

Complete the chart to find the mean, variance, and standard deviation. Remember to use commas and round numbers to the nearest tenth. Need help

Answer 1

i. mean of the data is 402.5

ii. variance of the data is 77556.25

iii. standard deviation of the data is 278.49

Step-by-step explanation: (x - ⁻x)²

from the chart given to me, the observation are: 45, 340, 400, 825

i. mean is the summation of the observation divided by number of observation. ∈x÷n =( 45 + 340 + 400 + 825)÷ 4 = 402.5

ii. variance is the square of the difference between the observation and mean divided by the number of observation.

variance = (45-402.5)²+(340-402.5)²+(400-402.5)²+(825-402.5)²÷4=77556.5

Answer 2

Answer: The mean of the data is 433.75, variance of the data is 99667.19 and the standard deviation of the data is 315.7011.

Step-by-step explanation:

The given data is 900, 35, 500 and 300.

The number of observation is 4.

Formula of mean is,

`\text{Mean}=\frac{\text{Sum of observations}}{\text{Number of observations}}`

`\bar{X}=(900+35+50+300)/(4) =433.75`

The formula of variance is given below,

`\sigma^2=(1)/(n)\sum{(X-\bar{X})^2}`

`\sigma^2=(398668.75)/(4)`

`\sigma^2=99667.19`

The variance of the data is 99667.19

`\sigma=√(99667.19)`

`\sigma=315.7011`

The standard deviation of the data is 315.7011.

The other information or values of given chart is shown in the attached table.